I can't speak for all types, but over the years I have had Rhode Island Reds, Production Reds, a Silkie, Plymouth Rocks, Black Australorps and the various mixed breed offspring of the above. However the best luck I have had on the lines you give are my current flock of Easter Eggers.
Not the most productive layers, my Production Reds layed more each per week, but my PRs, as well as all the other breeds, always tended to go "off-line" during the winter months; two of my three EEs are still laying. And of course there is the enjoyment of their colored eggs, and you never know what color a hen will lay until she starts doing so.
Being a mixed 'breed' their personalities vary, but in general they are friendly Among mine they range from being shy to the point of even avoiding her own 'sisters' (Robin), to bold enough that she flys up and roosts on my shoulders (Smokey The Bird). None of my EE hens are aggressive, except for my rooster, and I'm not 100% sure if he is an EE (he was supposed to be a she, also one of the EE's turned out to be an Australorp).
As they normally have small combs and wattles they are cold tolerant.
Not sure about wandering as mine are kept in a pen, but on the rare occasion when one does get out they tend to circle the pen looking for a way to get back in, so that's a good sign, I guess. When a Production Red got out I rarely ever saw it again.